100 points Hannah factored the expression 24xy + 15y. Her work is shown below. 1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.

She divided by 3 instead of the GCF.

She found the wrong GCF.

She divided wrongly.

She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

She didn’t undistribute the GCF from the original expression.

1. She divided by 3 instead of the GCF.

4. She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

5. She didn’t undistribute the GCF from the original expression.

Since

8

x

2

y

2

,

16

x

3

y

4

,

12

x

5

y

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

8

x

2

y

2

,

16

x

3

y

4

,

12

x

5

y

3

:

1. Find the GCF for the numerical part

8

,

16

,

12

2. Find the GCF for the variable part

x

2

,

y

2

,

x

3

,

y

4

,

x

5

,

y

3

3. Multiply the values together

Find the common factors for the numerical part:

8

,

16

,

12

The factors for

8

are

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

.

Tap for more steps...

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

The factors for

16

are

−

16

,

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

,

16

.

Tap for more steps...

−

16

,

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

,

16

The factors for

12

are

−

12

,

−

6

,

−

4

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

4

,

6

,

12

.

Tap for more steps...

−

12

,

−

6

,

−

4

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

4

,

6

,

12

List all the factors for

8

,

16

,

12

to find the common factors.

8

:

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

16

:

−

16

,

−

8

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

8

,

16

12

:

−

12

,

−

6

,

−

4

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

4

,

6

,

12

The common factors for

8

,

16

,

12

are

−

4

,

−

2

,

−

1

,

1

,

2

,

4

.

−

4

,

−

2

,

−

1

,

1

,

2

,

4

The GCF for the numerical part is

4

.

GCF

Numerical

=

4

Next, find the common factors for the variable part:

x

2

,

y

2

,

x

3

,

y

4

,

x

5

,

y

3

The factors for

x

2

are

x

⋅

x

.

x

⋅

x

The factors for

y

2

are

y

⋅

y

.

y

⋅

y

The factors for

x

3

are

x

⋅

x

⋅

x

.

x

⋅

x

⋅

x

The factors for

y

4

are

y

⋅

y

⋅

y

⋅

y

.

y

⋅

y

⋅

y

⋅

y

The factors for

x

5

are

x

⋅

x

⋅

x

⋅

x

⋅

x

.

x

⋅

x

⋅

x

⋅

x

⋅

x

The factors for

y

3

are

y

⋅

y

⋅

y

.

y

⋅

y

⋅

y

List all the factors for

x

2

,

y

2

,

x

3

,

y

4

,

x

5

,

y

3

to find the common factors.

x

2

=

x

⋅

x

y

2

=

y

⋅

y

x

3

=

x

⋅

x

⋅

x

y

4

=

y

⋅

y

⋅

y

⋅

y

x

5

=

x

⋅

x

⋅

x

⋅

x

⋅

x

y

3

=

y

⋅

y

⋅

y

The common factors for the variables

x

2

,

y

2

,

x

3

,

y

4

,

x

5

,

y

3

are

x

⋅

x

⋅

y

⋅

y

.

x

⋅

x

⋅

y

⋅

y

The GCF for the variable part is

x

2

y

2

.

GCF

Variable

=

x

2

y

2

Multiply the GCF of the numerical part

4

and the GCF of the variable part

x

2

y

2

.

4

x

2

y

2

answer: 2 answers

step-by-step explanation: the first one means to spread the product throughout the marketplace such that a large number of people can buy it.  

the second means the process of making a product or service available for the consumer or business user that needs it.

mark this brainliest and i will be glad to .

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870